It´s literally impossible that you get anyting better on day one due to lucky looter. There is no difference in loot between lootstage 6 and lootstage 7, that´s not how loot works in this game. Take a look at the loot tables and you will see why lucky looter is a mid game perk
Like said, if you start in the wasteland with T3 POI´s it´s a different story. But doing that you need your points elsewhere to not die all the time.